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Simplifying Expressions with Distributive Property

Learn to simplify expressions using the distributive property by combining like terms. Understand terms, coefficients, variables, and constants. Practice exercises and wrap-up assignments included.

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Simplifying Expressions with Distributive Property

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  1. EOC Practice: 3. 4.

  2. 5.

  3. Combining Like Terms & Distributive Property

  4. Name: Date: Period: Topic: To use the distributive property to simplify expressions. Essential Question: What strategies or properties could be use to simplify expressions? Aterm is a number, a variable or the product of a number and one or more variables. • In 3x2 + 4x +3---3x2, 4x and 3 are the terms. • Terms have: is a term that has no variable. is a symbol, usually a letter, that represents one or more numbers. is the power to which the variable is raised. is the number in front of the variable. A constant A variable An exponent A coefficient

  5. Terms • Identify the coefficient, exponent, variable, and/or constant for the following terms. • 7x3 • -8x2 – 4 • -3x2 • -9 • x5 + 5

  6. Like Terms • For terms to be “like terms” everything must match except the coefficients. • Which of the following are like terms?

  7. Like terms Like terms can be added or subtracted. • 3x + 5x • 8y2s – 3y2s

  8. Like Terms • Which terms are alike? 5x, 8y, 9z, 10, 12x, 14z, 7, 12x2 • Like Terms: 5x and 12x • Like Terms: 10 and 7 • Like Terms: 9z and 14z • Term: 12x2 • Term: 8y • Combine like terms: • 5x+ 8y + 9z – 10 – 12x – 14z + 7+12x2

  9. Combine Like Terms -8y + (-4y) 4x + 9x -7y + 9y 4x + 8y + 10x 5 + 8x + 7y + 10

  10. Combine Like Terms • 9x2 + 4x2 – 6 + 4y – 8x + 4 • 6x – 2 – 3x + 7y + 4

  11. Distributive Property • 5 (8) • 6 – 4(3) • 2 – (7) • 2 – (-7) Practice: -2(4) 3(4 + 5) 10 – (8) 10 – (-8)

  12. Using distributive property to combine like terms • -8(2y + 3) • (4m – 2)5 • -3(-2p + 4)

  13. Practice Time! Page 49-52 (2, 4, 5, 6, 8, 9, 12, 20, 35, 39, 61, 63, 64, 69, 77, 79, 88)

  14. Wrap-Up: • Summary Home-Learning Assignment #3: • Page 50 (10, 13, 24, 36, 62) • Page 51 (76) • Page 52 (86, 90, 91, 92)

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